The ludicrous state of solid geometry made me pass over this branch.
What distinguishes a mathematical model from, say, a poem, a song, a portrait or any other kind of "model," is that the mathematical model is an image or picture of reality painted with logical symbols instead of with words, sounds or watercolors.
Ignorance and superstition ever bear a close and mathematical relation to each other.
While the individual man is an insoluble puzzle, in the aggregate he becomes a mathematical certainty. You can, for example, never foretell what any one man will be up to, but you can say with precision what an average number will be up to. Individuals vary, but percentages remain constant. So says the statistician.
Human life is proverbially uncertain; few things are more certain than the solvency of a life-insurance company.
It is here [in mathematics] that the artist has the fullest scope of his imagination.
The calculative exactness of practical life which the money economy has brought about corresponds to the ideal of natural science: to transform the world by mathematical formulas. Only money economy has filled the days of so many people with weighing, calculating, with numerical determinations, with a reduction of qualitative values to quantitative ones.
Homeopathy seemed . . . both mathematical and poetic.
The world of strict naturalism in which clever mathematical laws all by themselves bring the universe and life into existence, is pure [science] fiction. Theories and laws do not bring matter/energy into existence. The view that they nevertheless somehow have the capacity seems a rather desperate refuge...from the alternative possibility...Trying to avoid the clear evidence for the existence of a divine intelligence behind nature, atheist scientists are forced to ascribe creative powers to less and less credible candidates like mass/energy and the laws of nature.
Avarice, greed, concupiscence and so forth are all based on the mathematical truism that the more you get, the more you have. The remark of that it is more blessed to give than to receive is based on the human truth that the more you give away in love, the more you are. It is not just for the sake of other people that tells us to give rather than get, but for our own sakes too.
We know next to nothing with any certainty about Pythagoras, except that he was not really called Pythagoras. The name by which he is known to us was probably a nickname bestowed by his followers. According to one source, it meant ‘He who spoke truth like an oracle’. Rather than entrust his mathematical and philosophical ideas to paper, Pythagoras is said to have expounded them before large crowds. The world’s most famous mathematician was also its first rhetorician.
Like works of literature, mathematical ideas help expand our circle of empathy, liberating us from the tyranny of a single, parochial point of view. Numbers, properly considered, make us better people.
I believe sanity and realism can be restored to the teaching of Mathematical Statistics most easily and directly by entrusting such teaching largely to men and women who have had personal experience of research in the Natural Sciences.
The analysis of variance is not a mathematical theorem, but rather a convenient method of arranging the arithmetic.
The numbers are a catalyst that can help turn raving madmen into polite humans.
Mathematics is the supreme judge; from its decisions there is no appeal.
Sex is the mathematics urge sublimated.
Mathematics is a more powerful instrument of knowledge than any other that has been bequeathed to us by human agency.
Logic doesn't apply to the real world.
Although I am almost illiterate mathematically, I grasped very early in life that any one who can count to ten can count upward indefinitely if he is fool enough to do so.
The calculus is the greatest aid we have to the application of physical truth in the broadest sense of the word.
Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be.
Mathematics is the handwriting on the human consciousness of the very Spirit of Life itself.
The Mandelbrot set is the most complex mathematical object known to mankind.
Mathematics is for lazy people.
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